Understanding 90° Clockwise Rotation

The video tutorial explains how to rotate a figure 90° clockwise using both manual and algebraic methods. It begins with an introduction to the concept of rotation, followed by a demonstration of manually rotating a figure using paper. The tutorial then introduces an algebraic method to find new coordinates after rotation, explaining the rule of swapping and negating coordinates. The video concludes by plotting the new coordinates and discussing the equivalence of rotating 90° clockwise and 270° counterclockwise.

What is the primary focus of the video tutorial?

• How to solve algebraic equations

• How to calculate area of a circle

• How to rotate a figure 90° clockwise

• How to draw geometric shapes

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What is one challenge mentioned when manually rotating a figure using paper?

• Drawing straight lines

• Measuring angles accurately

• Using a ruler

• Finding the exact coordinates

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What tool is suggested to make finding exact coordinates easier?

• Graph paper

• Wax paper

• A protractor

• A compass

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What is the algebraic rule for rotating a point 90° clockwise?

• Add 90 to both coordinates

• Swap x and y, negate the y-coordinate

• Swap x and y, negate the x-coordinate

• Double the x-coordinate, halve the y-coordinate

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CCSS.HSG.CO.A.2

When applying the algebraic rule, what happens to the original x-coordinate?

• It becomes the new x-coordinate

• It is negated and becomes the new y-coordinate

• It is doubled

• It remains unchanged

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What is the new coordinate of point A after applying the rotation rule?

• (3, 6)

• (6, 3)

• (-6, 3)

• (3, -6)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new coordinate of point B after applying the rotation rule?

• (4, -2)

• (-2, 4)

• (-4, 2)

• (-4, -2)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new coordinate of point C after applying the rotation rule?

• (0, 4)

• (-4, 0)

• (4, 0)

• (0, -4)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the equivalent of a 90° clockwise rotation?

• 360° clockwise rotation

• 90° counterclockwise rotation

• 270° counterclockwise rotation

• 180° clockwise rotation

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CCSS.HSG.CO.A.5

What is the final step in the video tutorial?

• Measuring the angles of the figure

• Drawing a new figure

• Comparing the original and rotated figures

• Calculating the area of the figure

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5